Vertical and Horizontal TransitionsWhich of the following statements best describes a trigonometric function having undergone a phase shift? Select all that apply.

The range of the function y = secx - 2 is all reals except ...

-3<y<-1

What is the phase shift of y = csc2(x + π/4)?

-π/4

The graph of y = tanx + 1 crosses the y-axis at _____.

1

What is the minimum y value on the graph of y = cosx + 5?

4

Which of the following statements best describes a trigonometric function having undergone a phase shift? Select all that apply.

The graph of y = sec x is translated three units to the left. The graph of y = csc x is translated three units to the right.

Evaluate the function f(x) = sec(x - π/2) for x = 0.

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Choose the correct equation for the function whose graph is shown.

y = sec(x - π/2)

Which of the following trigonometric functions does not result in the same graph as y = tan(x + π)?

y = tanâ¡( x + 2)

What is the phase shift of y = sin(1/2x - π/2)?

π

What is the phase shift of y = cos(3x - 3π/4)?

π/4

On the interval 0 ≤ x ≤ 2π, where are the asymptotes for the graph of y = cot(x - π/2) located?

π/2 and 3π/2